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Finding the Fourth Proportional to 206,423.70, 309,635.55 and 174,930.90

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Solution

The fourth proportional to 206,423.70, 309,635.55 and 174,930.90 is: 262,396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,423.70 : 309,635.55 = 174,930.90 : x
  2. Step 2: Convert to fraction form
    206,423.70/309,635.55 = 174,930.90/x
  3. Step 3: Cross multiply
    206,423.70x = 309,635.55 × 174,930.90
  4. Step 4: Simplify right side
    206,423.70x = 54,164,825,433.50
  5. Step 5: Solve for x
    x = 54,164,825,433.50/206,423.70
  6. Step 6: Final answer
    x = 262,396.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.